Answer:
D) (-1,1),(-1,5),(-7,1)
Step-by-step explanation:
The vertices of the triangle shown in the coordinate plane are: (-1,1), (-1,3), (-4,1)
The legs are in the ratio:2 : 3
For triangle with vertices A) (-1,1),(-1,4),(-6,1) ,
The legs are in the ratio: 3:5
For triangle with vertices:
B) (-1,1),(-1,5),(-6,1)
The legs are in the ratio:
4:5
For the triangle with vertices:
C) (-1,1),(-1,4),(-7,1)
The legs are in the ratio:
3:6=1:2
For triangle with vertices:
D) (-1,1),(-1,5),(-7,1)
The legs are in the ratio:
4:6=2:3
Therefore the correct answer is D.
Because similar triangles have their corresponding sides in the same proportion.
The ratio of the side measures are 6:7:9.
Let's assume length of three sides of the triangle is 6x, 7x and 9x.
Given,perimeter of a triangle is 110 inches.. Perimeter is the sum of all three sides of the triangle. So, we can set up an equation as follows:
6x+7x+9x= 110
22x =110
Dividing each sides by 22.
x=5.
Now we can plug in x=5 in all the expressions of sides.
So, 6x=6(5)=30,
7x=7(5)=35
9x=9(5)=45.
So, the sides of the triangle are 30 inches, 35 inches and 45 inches.